16. The price-demand function and the price-supply function for a certain make of a 10-speed bicycle are given below, where p is the price of the bicycle in dollars and x is the quantity in units of one thousand. Find the consumers' surplus at the equilibrium price of $160 per bike. p= D(x)= 250 – 0.001x2 and p= S(x) = 0.0006x² + 0.02x + 100

Q: 3. A company with monopolistic control in the market has fixed weekly costs of $5,000 and per unit…

A: A company with monopolistic control in the market has fixed weekly cost of $5000 and per unit costs…

Q: The relationship between labor (L) and output (Q) is given via the following equation: Q= 6L^2 -…

A: Using double derivative test to vet maximum range for maximum output

Q: 3. The demand curve of the firm is p=1200-21q and its total cost is c(q)=2q^3 - 66q^2 + 600q +1000…

A:

Q: 4. Suppose a company wants to introduce a new machine that will produce a rate of annual savings (in…

A: It is given that annual cost is C'x=x2+65x and annual savings is S'x=212-x2. (a) Suppose P'(x) is…

Q: 2. A product has a demand function p = 144 – x² and its supply function is p = = x2 + 10x + 116. a.…

A:

Q: The demand function for a certain product is  p = 100 − x2 and the supply function is p = x2 + 6x +…

A:

Q: 1. The demand function for an electronics company's stereos is D(g) = 228.4 -18q and the supply…

A: Given problem:- 1. The demand function for an electronics company's stereos is D(q) = 228.4-18q and…

Q: In this problem, p is in dollars and x is the number of units. The demand function for a certain…

A:

Q: 5. Suppose that the inverse demand and inverse supply functions are pp = 10- 2x and ps = 4 + 2√x,…

A: Given that the inverse demand and inverse supply functions are pD=10-0.2x and pS=4+0.2x, where x is…

Q: 1. A company manufactures and sells x radios per week. If the weekly cost and revenue quations are…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: In the Malthusian model let the production function be y = 15-0.1L, the Death Rate function be…

A: Let's find.

Q: 2. A firm knows that its marginal cost for a product is MC MR = 3x + 20, that its marginal revenue…

A: In the question it is asked to calculate the optimum level of production, profit function, profit or…

Q: the supply and demand functions of a given product QS is x2 + 14x + 22  and QD = -x2 - 10x = 150,…

A:

Q: 2- The demand and supply functions for a product (helicopter rides) are given by: Demand function: Q…

A:

Q: We solve the problem of determining the production of two products (x1, X2), unless their market…

A: 1st we will find total profit then will use  Method of lagranges multiplier to maximize it . To…

Q: 19. The demand function for a commodity is given by p = 2000 – 0.1x – 0.01x² Find the consumer…

A:

Q: 2. A commodity has a demand function modeled by p= 500–0.5x , and a total cost function modeled by…

A: A commodity has a defined function modeled by p=500-0.5xand a total cost function modeled by…

Q: 5. Consider the following model of a competitive labour market where both firms and workers have…

A:

Q: 5. Suppose that the inverse demand and inverse supply functions are pp = 10- 2x and ps = 4 + .2√x,…

A:

Q: The market for a particular consumer good has a demand function given by: q = 24 – p and supply…

A:

Q: D(x) is the price, in dollars per unit, that consumers are willing to pay for x units of an item,…

A: Given: The price that consumers are willing to pay for x unis of an item is D(x)=1000-10x and the…

Q: If the marginal revenue function for a manufactures product is MR=10(1+Q)^(-2); find the demand…

A: Definition used -           Total revenue  TR =∫MR dQ                                  P=TRQ…

Q: 2/5 Find the cost function if the marginal cost function is given by C'(x)=x +3 and 32 units cost…

A:

Q: Suppose that the marginal cost of extracting a non-renewable natural resource is MXC(Q) = 10 and the…

A: Marginal cost is the increase or decrease in the total cost a business will incur by producing one…

Q: 4. The price-demand equation and the cost function for the production of 4K Tv's are given…

A:

Q: 4. A company finds that the total cost of manufacturing x units of a certain product is given by…

A: marginal profit

Q: 1, Find the equilibrium point for the supply and demand functions below. Enter your answer as an…

A: we know that  the point where the demand and supply curve cross is called the equilibrium point  As…

Q: 1. When the fixed cost of producing x units of steel is C(0) = $5500 and its marginal cost is C'(x)…

A: As per the rules we can answer only the first question.

Q: If consumption is $5 billion when disposable income is $o, and if the marginal propensity to consume…

A:

Q: 2) If demand is represented by the function Pp = f(q) and supply is represented by the function P =…

A:

Q: If consumption is $9 billion when disposable income is $0, and if the marginal propensity to consume…

A: Consider the marginal propensity to consume is 0.80. Then, dCdy=0.80 That is, dC=0.80dy On…

Q: How do I do this problem? Is what I'm doing correct?

A: Overall approach: Define the revenue function R (x) Obtain the profit function P(x) Obtain dP / dx…

Q: The demand function for a certain product is p = 121 − x2 and the supply function is p = x2…

A:

Q: Suppose the cost function of a company for producing a particular commodity is C(x) = 0.000003x³ –…

A: Given: The number of units = x Cost function: Cx=0.000003x3-0.04x2+200x+70000 Demand function:…

Q: D(X) is the price, in dollars per unit, that consumers are willing to pay for x units of an item,…

A: Here, the given functions are: D(x)=100x, S(x)=x

Q: In this problem, p is in dollars and x is the number of units. The demand function for a certain…

A: Refer to the figure shown below:

Q: 4. The price-demand equation and the cost function for the production of table saws are given,…

A: The price demand equation is 100p = 2800 - x  The cost function is C(x) = 11400 + 3x, 0≤x≤2800

Q: A demand function for a product is P = 100 – 2.2Q and its supply function is P = 2.8Q, where P is…

A:

Q: 29. Suppose that the cost (in dollars) for a company to produce x pairs of a new line of jeans is…

A:

Q: and a demand function of d(q) = are given a supply function of s(q) lucer surplus measured in…

A:

Q: A company manufactures two types of woodburning stoves: a freestanding model and a fireplace-insert…

A: Given the cost of producing x freestanding and y fireplace insert stoves is C=32xy+175x+205y+1050.…

Q: Suppose that in a certain market the demand function for a product is given by  10p + q = 2,100…

A:

Q: 4. Consider a competitive industry with a large number of firms, all of which have identical cost…

A: Supply curve shows correlation between cost and quantity of goods.

Q: 5. If consumption is $3 billion when disposable income is $O, and if the marginal propensity to save…

A:

Q: 6. Suppose a certain commodity has supply equation p 8x+25 and demand equation p=-x- 2x+100, where x…

A: 6. Given: Where x is the quantity measured in thousands of units.

Q: 5. Suppose that the inverse demand and inverse supply functions are PD = 10-.2x and ps = 4 + .2√x,…

A: In the given set of question you have asked to answer question number 5 only. Inverse demand and…

Q: 1(b)A soot-spewing factory that produces steel windows is next to a laundry. We will assume that the…

A:

Q: A small business assumes that the demand function for one of its new products can be modeled by  p =…

A:

Q: = 17 + 13z Find the producer's surplus if the The supply for a particular item is given by the…

A:

Q: The market demand and supply schedule for Commodity X is as follows: Qd= 2000 - 60P and Qs= 400 +…

A:

Q: 1. A certain manufacturer produces door handles and has a profit function P(x) = 5x – 0.05x? – 450…

A: Given: A profit function, P(x) = 5x - 0.05x2 – 450 a) If 150 handles are sold, P(150) = 5(150) -…

Q: Suppose the equilibrium price for soft drinks is $1.00. If the current price in the soft drink…

A: Here AS PER POLICY I HAVE CALCULATED FIRST MAIN QUESTION

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.